121762112706 has 192 divisors, whose sum is σ = 312271200000. Its totient is φ = 35029822464.

The previous prime is 121762112561. The next prime is 121762112713. The reversal of 121762112706 is 607211267121.

121762112706 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 621 + 1 + 27 + 0 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24354795 + ... + 24359793.

It is an arithmetic number, because the mean of its divisors is an integer number (1626412500).

Almost surely, 2^121762112706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121762112706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156135600000).

121762112706 is an abundant number, since it is smaller than the sum of its proper divisors (190509087294).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121762112706 is a wasteful number, since it uses less digits than its factorization.

121762112706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5210 (or 5191 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

Adding to 121762112706 its reverse (607211267121), we get a palindrome (728973379827).

The spelling of 121762112706 in words is "one hundred twenty-one billion, seven hundred sixty-two million, one hundred twelve thousand, seven hundred six".